Answered: Hypothesis Test - Population Mean -…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Hypothesis Test - Population Mean - Sigma Unknown
A production line operation is designed to fill cans with tomato sauce with a mean weight of 20 ounces. A sample of 25 cans is selected to test whether overfilling or under filling is occurring in the production line and they should stop and adjust it. Sample statistics (mean and standard deviation) are calculated. Assume the population of interest is normally distributed.

The p-value for this test can be calculated in Excel using the function

Let the p-value be 0.067 for this sample. At 0.05 level of significance, it can be concluded that the mean filling weight of the population is

		significantly different than 20 ounces
		not significantly different than 20 ounces
		significantly less than 20 ounces
		not significantly less than 20 ounces

= 1 - NORM.S.DIST(|z-stat|,1)
= 2*(1 – NORM.S.DIST(|z-stat|,1))
T.DIST.RT(|t -stat|,24,1)
= 2*(1 – T.DIST(|t - stat|,24,1))

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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